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Aspects of parameter estimation in ascertainment sampling schemes

W J Ewens

    American Journal of Human Genetics
    |November 1, 1982
    PubMed
    Summary
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    This study demonstrates that estimating unobserved families and family size distribution parameters alongside genetic parameters offers no additional efficiency. Current methods of ignoring these factors are formally justified, simplifying genetic analysis.

    Area of Science:

    • Statistical genetics
    • Genetic epidemiology

    Background:

    • Ascertainment sampling is commonly used in genetic studies.
    • Current methods may not be fully efficient by not estimating unobserved families or family size distribution parameters.

    Purpose of the Study:

    • To evaluate the efficiency of estimating unobserved families and family size distribution parameters.
    • To provide a formal justification for existing genetic parameter estimation procedures.

    Main Methods:

    • Equivalence theorem to compare estimation procedures.
    • Analysis of parameter estimation with and without considering unobserved families and family size distribution.

    Main Results:

    • Estimates and variances are identical whether or not unobserved families are estimated.

    Related Experiment Videos

  • Estimates and variances are identical whether or not family size distribution parameters are estimated.
  • The suggested procedures yield the same results as ignoring these factors.

    • Conclusions:

    • Formal justification for ignoring unobserved families in parameter estimation.
    • Formal justification for ignoring family size distribution in parameter estimation.
    • Supports the use of method-of-moments estimators and simplified ascertainment handling.